[" Show that the differential equation "[x sin^(2)((y)/(x))-y]dx+xdy=0" is "],[" homogeneous.Find the particular solution given that "y=(pi)/(4)," when "x=1]

Show that the differential equation [x sin^(2)((y)/(x)) - y]dx+x dy = 0 is homogeneous. Find the particular solution of this differential equation, given that y = (pi)/(4) when x = 1.

Show that the differential equation 2ye^(x/y)dx+(y-2xe^(x/y))dy=0 is homogeneous and find the particular solution, given that x=0 when y=1 .

Show that the differential equation : 2ye^(x/y)dx + (y - 2xe^(x/y) ) dy = 0 is homogeneous and find its particular solution given that x = 0 when y=1

Show that the differential equation 2y e^(x/y)dx+(y-2x e^(x/y))dy=0 is homogeneous and find its particular solution, given that, x" "=" "0 wheny" "=" "1 .

Show that the differential equation 2ye^(x/y) dx + ( y - 2xe^(x/y)) dy = 0 is homogeneous and find its particular solution, given that, x = 0 when y = 1.

Show that the differential equation 2ye^(x)/(y) dx + ( y - 2xe^(x)/(y)) dy = 0 is homogeneous and find its particular solution, given that, x = 0 when y = 1.